Question

Find the equation for the line that goes through (-6, 6) and is perpendicular to y = -2x – 4.

Answer 1

y = (1/2)x + 9

Explanation:

slope of a line perpendicular to y = -2x - 4 is 1/2 (opposite reciprocal of -2)

y = (1/2)x + b

to find b plug in (x, y) = (-6, 6)

so...

6 = (1/2)×(-6) + b

6 = - 3 + b

b = 9

so the answer is

y = (1/2)x + 9